Abstract
The tools of adiabatic Floquet theory are developed to study the control of population transfer by intense chirped laser pulses. We give a formulation of the adiabatic evolution for systems with a slowly varying frequency, which exhibits an effective frequency carrying relevant physical information. These tools are applied to dissociation. The path leading to dissociation corresponds to a single instantaneous Floquet state evolving adiabatically. We obtain 96% dissociation of the HF molecule by a chirped ultrashort infrared laser pulse of duration 2.3 ps and intensity 1013 W/cm2.

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